We’ve used some books from The Critical Thinking Co.™ in the past, and they’ve been big hits with my boys. I like how they teach not only things that you need to know, but also how to “think out” how to get there. For today’s review, I’ll be talking about Munchkin (age 11, coming out of 6th grade) and his use of Understanding Pre-Algebra.
The timing on our receipt of this book was perfect as he had just finished up his 6th grade (generic) math book. Understanding Pre-Algebra is a combination textbook and workbook – everything is self contained, which has been nice. The lessons are fairly short (a couple of pages of reading) followed by practice exercises. No different from a traditional textbook except that there are lines on which to write the answers so no additional paper is necessary. Because of this format, the book is quite large – 8.5 x 11 and nearly 450 pages.
It opens with a chapter on number families. The book explains the different types of number groups used in higher level mathematics (natural numbers, whole numbers, integers, rational and irrational numbers, etc). This chapter lists 5 sections in the table of contents, but they were all simple enough concepts that we (me teaching and Munchkin working) were able to finish it in just 2 days.
The second chapter, Working with Integers, has been a lot more new information for him, and thus is taking us longer to get through. Because Munchkin hasn’t done a lot of work with negative numbers to date, it’s a lot for him to try to grasp at a time (he’s a literature kid, not a math kid, so it’s especially tricky for him to wrap his mind around), so we’re taking it slow. I want him to understand the concepts, not just be able to fill out the worksheet today and forget it tomorrow – which he is definitely prone to do with math. But this is just one more reason I really like this curriculum for him so far – some of the questions require more than just a mathematical answer, which helps to cement the information (and its how and why) in the child’s brain. One example of such a question is is this one from chapter 1: “Joan said that 27 cannot be divided by 2. Is she right? Explain your thinking.” Munchkin correctly answered, “Yes. 27 does not divide by 2 because 27 is odd.” That “explain your thinking” part is what will help him remember concepts from one day to the next.
Even though we’re not super far into the book, I can tell that it’s going to be a fantastic fit for my son based on what we’ve done so far. The information is presented well, in an easy to understand way. The chapter titles tell me precisely what he will be learning, and it’s all important as he moves through pre-algebra to prepare for Algebra I. Some of them are things he struggled with in his previous math book (specifically volume and surface area), so I’m glad they will be repeated in this book. Some of the things (inequalities, scientific notation) are in the Algebra I book his big brother (14) is working through right now, which is how I know this book will lead beautifully into that one. All in all, I’m very glad we were chosen to have the opportunity to review this book. It’s definitely a keeper for us!
No doubt, to understand and solve algebraic equations is a real challenge to you. Anyhow, you can easily overcome this challenge just by handling an algebraic equation with the help of logical thinking.